Integration by substitution for integral

[adartsesirhc]

Homework Statement

Use substitution to evaluate the integral.
$$\int \frac{4cos(t)}{(2+sin(t))^2}dt$$

Homework Equations

None, really.

The Attempt at a Solution

I'm not sure what to use as u, for the substitution. I've tried $$(2+sin(t))^2$$, as well as other attempts, but I can't seem to find anything.

 

[adartsesirhc]

Sorry, I meant
$$\int \frac{4cos(t)}{(2+sin(t))^2}dt$$

 

[gabbagabbahey]

Why not try u=2+sin(t) ?

 

[Mark44]

Homework Statement

Use substitution to evaluate the integral.
$$\int \frac{4cos(t)}{(2+sin(t))^2}dt$$

Homework Equations

None, really.

The Attempt at a Solution

I'm not sure what to use as u, for the substitution. I've tried $$(2+sin(t))^2$$, as well as other attempts, but I can't seem to find anything.

Always try a simple substitution before you try the more complicated substitutions. If your simple substitution doesn't work, you won't have wasted much time.